13x^3-26x=0

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Solution for 13x^3-26x=0 equation:


Simplifying
13x3 + -26x = 0

Reorder the terms:
-26x + 13x3 = 0

Solving
-26x + 13x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '13x'.
13x(-2 + x2) = 0

Ignore the factor 13.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {0, -1.414213562, 1.414213562}

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